Question

1. (0, -9), (-1, -9)
2. (8, -3), (-7, 0)

Explanation:

Problem 5: Find the slope between points \((0, -9)\) and \((-1, -9)\)

Step 1: Recall the slope formula

The slope \(m\) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by \(m=\frac{y_2 - y_1}{x_2 - x_1}\).
Let \((x_1, y_1)=(0, -9)\) and \((x_2, y_2)=(-1, -9)\).

Step 2: Substitute the values into the formula

Substitute \(x_1 = 0\), \(y_1=-9\), \(x_2=-1\), and \(y_2 = -9\) into the slope formula:
\(m=\frac{-9-(-9)}{-1 - 0}=\frac{-9 + 9}{-1}=\frac{0}{-1}=0\)

Step 1: Recall the slope formula

The slope \(m\) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by \(m=\frac{y_2 - y_1}{x_2 - x_1}\).
Let \((x_1, y_1)=(8, -3)\) and \((x_2, y_2)=(-7, 0)\).

Step 2: Substitute the values into the formula

Substitute \(x_1 = 8\), \(y_1=-3\), \(x_2=-7\), and \(y_2 = 0\) into the slope formula:
\(m=\frac{0-(-3)}{-7 - 8}=\frac{0 + 3}{-15}=\frac{3}{-15}=-\frac{1}{5}\)

Answer:

The slope is \(0\)

Problem 17: Find the slope between points \((8, -3)\) and \((-7, 0)\)